Branch, Loop and Node Analyses - Engineering

Q1:

Find I1. 4I1 + 4I2 = 2
6I1 + 7I2 = 4

A 0.5 A

B 50 mA

C –0.5 A

D –50 mA

ANS:C - –0.5 A

let us take 4I1+4I2=2.....eqn. no (1) & 6I1+7I2=4....eqn. no (2)
multiply the eqn no 1 by 7 and eqn no 2 by 4 then the eqns will be as follows 28I1+28I2=14....eqn no (3) & 24I1+28I2=16....eqn no (4)
solve eqns 3 & 4 den u get 4I1= -2
therfore I1= -0.5A